Efficient numerical solution of micro–macro models for multicomponent transport and reaction problems in porous media. Issue 12 (13th August 2022)

• Record Type: Journal Article
• Authors: Elbinger, T.; Knabner, P.
• Is Part Of: Applicable analysis. Volume 101:Issue 12(2022)
• Page Start: 4294
• Page End: 4318
• Publication Date: 2022-08-13
• Subjects: Porous media -- multicomponent reaction and diffusion -- distributed microstructure -- parallel computing -- Schur complement -- FE2 models; 76Sxx -- 35K57 -- 36B27; Mathematical analysis -- Periodicals; 515
• DOI: 10.1080/00036811.2022.2097906
• Languages: English
• ISSNs: 0003-6811

Abstract

ABSTRACT: Transport and reaction of dissolved species in hierarchically structured complex media, e.g. porous media, can be described by micro–macro models (models with distributed micro-structure, F E 2 models). These models offer advantages compared to pure micro- or pure macroscale models but exhibit, compared to pure macroscale models, a strongly increased numerical complexity. We show how parallel computing together with Schur complement techniques can make those models numerically feasible.